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Finding the Fourth Proportional to 299,295.40, 448,943.10 and 141,831.40

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Solution

The fourth proportional to 299,295.40, 448,943.10 and 141,831.40 is: 212,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,295.40 : 448,943.10 = 141,831.40 : x
  2. Step 2: Convert to fraction form
    299,295.40/448,943.10 = 141,831.40/x
  3. Step 3: Cross multiply
    299,295.40x = 448,943.10 × 141,831.40
  4. Step 4: Simplify right side
    299,295.40x = 63,674,228,393.34
  5. Step 5: Solve for x
    x = 63,674,228,393.34/299,295.40
  6. Step 6: Final answer
    x = 212,747.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.